When seven times a number is decreased by 8, the result is 55.

What is the number.

Help me to understand.

7n - 8 = 55

Let's set up an equation to solve this problem step-by-step.

Let the number be represented by the variable "x."

According to the problem, "seven times a number is decreased by 8" can be written as 7x - 8.

The problem also states that this expression is equal to 55.

So we can write the equation as:

7x - 8 = 55

To solve for x, we need to isolate the variable. Let's simplify the equation further:

Adding 8 to both sides of the equation:

7x - 8 + 8 = 55 + 8

This simplifies to:

7x = 63

Next, divide both sides of the equation by 7, since we want to isolate the variable x:

7x/7 = 63/7

This simplifies to:

x = 9

Therefore, the number is 9.

To solve this problem, we need to set up an equation based on the given information and then solve it to find the number.

Let's start by letting the number be represented by the variable 'x'.

The problem states that "seven times a number is decreased by 8" which can be written as "7x - 8".

According to the problem, this expression equals 55. So we can write the equation as:

7x - 8 = 55

To find the value of 'x', we need to isolate it on one side of the equation.

Adding 8 to both sides:

7x - 8 + 8 = 55 + 8

Simplifying:

7x = 63

Finally, divide both sides of the equation by 7:

(7x)/7 = 63/7

This leaves us with:

x = 9

Therefore, the number is 9.